According to the Environmental Protection Agency, the weight of a daily waste for a US household has a normal distribution with a mean of 4 lbs and a standard deviation of 0.4 lbs. Let X be the weight of a daily waste for a randomly selected a US household and let S be the total weight of a daily waste for a random sample of size 15. 1. Describe the probability distribution of X and state its parameters y. and 0': Km [Sela-{tenanswer V:I[,u.= ,or= ) and find the probability that the weight of a daily waste for a randomly selected a US household is more than 5 lbs. [Round the answer to 4 decimal places) 2. Use the Central Limit Theorem I Select an answer v I to describe the probability distribution of S and state its parameters p3 and 0'5: (Round the answers to 1 decimal place) Sm [Selectananswer V:I[MS= ,0'32 ) and find the probability that the total weight of a daily waste for a sample of 15 randomly selected US households is less than 58 lbs. [Round the answer to 4 decimal places)